Names: Grace and Becky G

Project Title: Sport Physics Triathlon (Go Physics!!!)

Goal: To compare and rate football, basketball, and baseball forces and energies to determine which of these sports (during a tackle, a slide, and jumpshot) require the most physics.

Procedure:
1. Shoot a video of three activies.
  • A freethrow
  • A tackle in which one player is still and the other runs and pushes
  • A slide into a base after a run.
2. Perform a video analysis
3. Measure the forces of the tackle and the freethrow with the force scale.
4. Predict the force of friction from the baseball slide.
5. Determine the energy (kentic, impluse, and momentum), power, and force of each the sports.
6. Create graphs and tables to compare the data
7. Use this data to solve for a predicted final work and determine which sport requires the most!

Data:
Mass/Weight of David: Mass = 45.359 kg or 100 lbs
Mass/Weight of Johnny: Mass = 48.89 kg or 108 lbs

Equations:
BASEBALL SLIDE:
Slide Equations:
Slide Accelerate: 3.556 m/s/s
Slide Time: 1 s
Slide Distance : 3.5 m
Slide Velocity: Final Velocity = 6.056m/s Initail Velocity = 2.5m/s
Initial velocity found by taking the running distance up to start of skid over the time.
Final velocity found by Vf = Vi + at. T is one. Accleration is 3.556 (found by graph) and Vi from above. Measures the velocity during the skid.
Force of Friction: 256.15N
Work = Force * Distance. Distance was 3.5
Work found by Kinetic Energy 1/2mvv. 1/2(48.89)((6.056)(6.056)) = -896.524J
896.524J = Force * 3.5 Ff = 256.15N
Mu: .534623
256.15/479.122 = .534623
Fn = Fg = mass (of johnny) * 9.8 (gravity) = 479.122 N
Power: 896.524 Watts
Power = Work divided by Time.
Power = 896.524J / 1s
Momentuem: 296.078 s*m/s
Impulse: 256.15
displpacement of slide: -4.229 s*m/s (of Johnny)

Slide Graphs:

slide_velocities.GIF

FOOTBALL TACKLE:
Tackle = Average Force is 161.7 N
displacement of tackle: -0.7622 m (of David, the tackler)
acceleration: 1. 407 m/s/s (slope of football velocity graph)
displacement of tackler (David): -0.7622 m (area of football velocity graph)
v=(a)(d)
v=(1.407 m/s)(-0.7622 m)
velocity of tackler (David): -1.072 m/s
Work=1/2(45.359)(-1.072)
Work= 24.312 J
Power= (24.312)/time
time of tackle= 0.57 seconds (on football velocity graph)
Power= 42.653 W
Initial momentum= (45.359 kg)(1.407 m/s)
Initial momentum= 63.820 s*m/s
Change in momentum (impulse): 161.7 s*N (on football velocity graph)
Tackle Graphs:

tackle_velocities.GIF

tackle_forces.GIF

BASKETBALL JUMPSHOT:
Jumpshot = Average Force is 721.05 N
Impulse of jumpshot: 721.05 s*N
Displacement of jumpshot: 0.2743 m (of David, the shooter)
Time of jump (to push off through land): 1.5s
Distance (of height of jump): .125 meters
Acceleration: .3699 m/s/s (found through graph)
Velocity: .0462375 m/s
acceleration * mass = velocity
.3699 * 45.359 = .0462375
Kinetic energy/ Work: .048487 J
1/2*(mass)*(velocity)^2
1/2(45.359)(.0462375)^2
Power: .0323246 watts
Power = Velocity/time
.048487/1.5 = .0323246 watts
Momentum: 2.097287 s*m/s
Momentum = mass * velocity
Momentum = 45.359 * .0462375
Jumpshot Graphs:
jumpshot_velocitites.GIF
jumpshot_forces.GIF

Data Table:
Sport
Power
Work
Force
Football
42.653 watts
24.312 J
161.7 N
Basketball
.0323246 watts
.048487 J
721.05 N
Baseball
896.524 watts
-896.524J
256.15N


Videos:


Conclusion:
We all like to believe our sport is the most intense. Only the roughest, toughest athletes can play our sport. So, for our lab we were interested on the "wear and tear" on an athlete's body. In other words, what sport is requires the most "wear and tear" on the athlete. We took three of the most popular American sports: baseball, basketball, and football to run our experiments. We took videos of two atletes, David and Johnny O'Gara, doing a baseball slide, a basketball jumpshot, and a football tackle to be able to analysize each of the work, power, and force in each sport. Before the experiment, we predicted the sport that required the most "wear and tear" would be football because of the padding players are required to wear and the many injuries football players seem to have. However, that is not the case. We constructed a table to compare the evidence found in our experiments and concluded that baseball requires the most endurance by the athlete. Football is the sport that came in second, and out of the three, basketball, required the least work and power. Basebal beat out football and basketball in the evalulation of work, power, and force. Football beat out basketball in work and power but came last in force. Therefore, basketball came second in the amount of force and third in work and power. We decided that football would come in overall seond place because of outside factors, especially the fact that the power we recorded came from a 100 pound high school freshman, not an NFL linebacker. In conclusion, baseball would result in the most "wear and tear" to an athlete's body, and football and basketball also provide hard work, but not as much as baseball. Of course, these findings can be called into question based on error. Mathamatical inaccuracies, video faluts, and graphical inconsistencies are all poosible. For example, becuase we were unable to bring a Force Plate and Logger-Pro approved computer home, David had to try and replicate the same force he used in the football tackle and basketball jumpshot in class on Friday when he tackled Johnny and took a shot on the court on Saturday. Also, our athletes were relatively young, healthy teenage boys, not professional athletes. The comparison to teenage sports and professional sports must be considered. Although error is always possible, we feel confident in our evidential findings and conclusions.